TY - JOUR

T1 - Nestedness and τ-temperature in ecological networks

AU - Corso, Gilberto

AU - Britton, Nicholas F

PY - 2012/9

Y1 - 2012/9

N2 - The τ-temperature is a measure of disorder of bipartite networks that is based on the total Manhattan distance of the adjacency matrix. Two properties of this measure are that it does not depend on permutations of lines or columns that have the same connectivity and it is completely determined by connectivities of lines and columns. The normalisation of τ is done by an uniform random matrix whose elements were previously sorted. τ shows no bias against uniform random matrices of several occupations, ρ, sizes, L, and shapes. The scaling of the total Manhattan distance of a random matrix is D rand ∝ L 3 ρ while the same scaling for a full nested matrix is D nest ∝ L 3 ρ 3/2. We test τ for a large set of empirical matrices to verify these scalings. The index τ correlates better with the temperature of Atmar than with the NODF index of nestedness. We conclude this work by discussing differences between nestedness indices and order/disorder indices.

AB - The τ-temperature is a measure of disorder of bipartite networks that is based on the total Manhattan distance of the adjacency matrix. Two properties of this measure are that it does not depend on permutations of lines or columns that have the same connectivity and it is completely determined by connectivities of lines and columns. The normalisation of τ is done by an uniform random matrix whose elements were previously sorted. τ shows no bias against uniform random matrices of several occupations, ρ, sizes, L, and shapes. The scaling of the total Manhattan distance of a random matrix is D rand ∝ L 3 ρ while the same scaling for a full nested matrix is D nest ∝ L 3 ρ 3/2. We test τ for a large set of empirical matrices to verify these scalings. The index τ correlates better with the temperature of Atmar than with the NODF index of nestedness. We conclude this work by discussing differences between nestedness indices and order/disorder indices.

UR - http://www.scopus.com/inward/record.url?scp=84864301299&partnerID=8YFLogxK

UR - http://dx.doi.org/10.1016/j.ecocom.2012.05.003

U2 - 10.1016/j.ecocom.2012.05.003

DO - 10.1016/j.ecocom.2012.05.003

M3 - Article

VL - 11

SP - 137

EP - 143

JO - Ecological Complexity

JF - Ecological Complexity

SN - 1476-945X

ER -